1) 17 - 2x = 5 - 6x

-2x + 6x = 5 - 17

4x = -12

x = -12 / 4

x = -3.

2) 2(4x - 5) = 2x + 8

8x - 10 = 2x + 8

8x - 2x = 10 + 8

6x = 18

x = 18 / 6

x = 3.

3) 3x - 10 = 5x + 2(4x - 5)

3x - 10 = 5x + 8x - 10

3x - 5x - 8x = - 10 + 10

10x = 0.

x = 0.

4) 6x - 6(2x + 5) = 4(5x - 1)

6x -12x - 30 = 20x - 4

6x - 12x - 20x = -4 + 30

-26x = -26

x = -26 / -26

x = 1.

5) 11 - 4(3x - 1) - 5(4x - 3) = 3x

11 - 12x + 4 - 20x + 15 = 3x

-12x - 20x - 3x = -15 - 4 - 11

-35x = -30

x= -30 / -35

x = 30/35 (дробь)

6) 8(x - 3) + 1 = 5(2x + 3) - 2x

8x - 24 + 1 = 10x + 15 - 2x

8x - 10x + 2x = 15 + 24 - 1

0x = 38

Нет корней.